What is the 3801st prime number?
The 3801st prime number is 35771. The next prime is 35797 (a gap of 26) and the one before is 35759.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3801st one is 35771.
- 2
35771 is prime because no prime up to ā35771 ā 189.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3801st prime is close to 3801 Ć ln(3801) ā 31332, and here it is 35771.
- 4
35771 has no twin: neither 35769 nor 35773 is prime.
Primes around the 3801st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3798 | 35747 | 16 |
| 3799 | 35753 | 6 |
| 3800 | 35759 | 6 |
| 3801 | 35771 | 12 |
| 3802 | 35797 | 26 |
| 3803 | 35801 | 4 |
| 3804 | 35803 | 2 |
Questions
What is the 3801st prime number?
35771.
Which prime number is 35771?
35771 is the 3801st prime number.
What is the sum of the first 3801 primes?
63,945,490.